Question

A force of $20$ newtons will stretch a spring $5$ centimeters. What is the total number of centimeters that a force of $60$ newtons will stretch the same spring

Answer 1

Explanation:

Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:

`(N)/(cm):(20)/(5)=(60)/(x)` and cross multiply:

20x = 300 so

x = 15 cm